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Arithmetic progression is a sequence in which the difference between any two terms is always the same. JEE aspirants can solve all important past year AP questions in this section. Previous year’s Arithmetic Progression solved questions are available here. Previous year solved questions are an excellent resource for students preparing for the IIT JEE. Subject experts have prepared JEE chapter-wise solutions for all of the previous year’s important questions. Students can easily access the Arithmetic progression past year questions and answers PDF to begin adequate preparation for their upcoming exams. Download the chapter-by-chapter JEE Math Solutions now and practise all of the questions that can be framed in the exam.
It is a number sequence in which the difference between any two successive numbers is a constant. The sequence 3,6,9,12,…, for example, is an arithmetic progression with common difference 3.
The letter “d” denotes a common distinction.
“an” is the nth term. “Sn” multiplies the sum of the nth term.
An AP’s nth term is:
an = a + (n − 1) × d
N-term total:
S = n/2[2a + (n − 1) × d]
When the last term is known, add the sum of the AP. S = n/2 (first and last terms)
Where an is the first term, n is the number of terms, and d is a common difference.
Properties of Arithmetic Progression (AP)
1. The value of an AP’s common difference (d) can be positive or negative. If the value of the common difference (d) is positive, the AP will be an increasing arithmetic sequence. Similarly, if the value of the ‘common difference’ (d) is positive, the AP will be a decreasing arithmetic sequence.
2. If each term in an Arithmetic Progression (AP) is decreased, increased, divided, multiplied, or divided by the same non-zero number, the resulting sequence is also an AP.
3. If an AP has three consecutive terms m, n, and o, then 2n = m + o. Furthermore, if m, n, o, and p are four consecutive terms in an arithmetic progression, then m + p = n + o.
4. The sum of any two terms equidistant from the beginning and end of an Arithmetic progression is always constant. Furthermore, their sum is always equal to the sum of the first and last terms.
5. If the nth term of any sequence is a linear expression in n, i.e. Pn + Q, the sequence is an AP, and the common difference between that Arithmetic Progression is P.
FAQs
What exactly is AP for JEE?
If the value of the common difference (d) is positive, the AP will be an increasing arithmetic sequence. Similarly, if the value of the 'common difference' (d) is positive, the AP will be a decreasing arithmetic sequence.
Is JEE progression necessary?
One of the most important concepts in the JEE Main syllabus is sequence and series. Harmonic progression is covered in the sequence and series sections. So, yes, harmonic progression is covered in JEE mains.
What is the definition of increasing arithmetic progression?
The arithmetic progression is increasing or decreasing depending on the value of the common difference. If the common difference 'd' is positive, the arithmetic progression will increase towards positive infinity, resulting in an increasing sequence.
